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Finding the Third Proportional to 207,819 and 448,068

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Solution

The third proportional to 207,819 and 448,068 is: 966,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,819 : 448,068 = 448,068 : x
  2. Step 2: Convert to fraction form
    207,819/448,068 = 448,068/x
  3. Step 3: Cross multiply
    207,819x = 448,068 × 448,068
  4. Step 4: Simplify right side
    207,819x = 200,764,932,624
  5. Step 5: Solve for x
    x = 200,764,932,624/207,819
  6. Step 6: Final answer
    x = 966,056.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.